MathDB
Ratio of radii

Source: Indian Postal Coaching 2005

September 23, 2005
ratioanalytic geometrygeometry unsolvedgeometry

Problem Statement

Let ABCABC be a triangle with vertices at lattice points. Suppose one of its sides in n\sqrt{n}, where nn is square-free. Prove that Rr\frac{R}{r} is irraational . The symbols have usual meanings.
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